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Finding the Fourth Proportional to 24,772.50, 37,164.51 and 8,356.50

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Solution

The fourth proportional to 24,772.50, 37,164.51 and 8,356.50 is: 12,536.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,772.50 : 37,164.51 = 8,356.50 : x
  2. Step 2: Convert to fraction form
    24,772.50/37,164.51 = 8,356.50/x
  3. Step 3: Cross multiply
    24,772.50x = 37,164.51 × 8,356.50
  4. Step 4: Simplify right side
    24,772.50x = 310,565,227.82
  5. Step 5: Solve for x
    x = 310,565,227.82/24,772.50
  6. Step 6: Final answer
    x = 12,536.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.